Neutrino masses in the Standard Model effective field theory
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Chala, M., Titov, A. Neutrino masses in the Standard Model effective field theory. PHYSICAL REVIEW D 104, 035002 (2021). DOI: [10.1103/PhysRevD.104.035002]
SponsorshipSpanish MINECO under the Ramon y Cajal program; Spanish Government FPA201678220-C3-1/3-P; Spanish State Research Agency (Agencia Estatal de Investigacion) PID2019-106087 GB-C21/C22; Junta de Andalucia FQM 101 A-FQM-211-UGR18 P18-FR-4314; Generalitat Valenciana European Commission PROMETEO/2019/087; FEDER/MCIyU-AEI FPA2017-84543-P
We compute the leading-logarithmic correction to the neutrino mass matrix in the Standard Model effective field theory (SMEFT) to dimension seven. In the limit of negligible lepton and down-type quark Yukawa couplings, it receives contributions from the Weinberg dimension-five operator as well as from 11 dimension-six and five dimension-seven independent interactions. Two of the main implications we derive from this result are the following. First, we find dimension-seven operators which, despite violating lepton number, do not renormalize neutrino masses at one loop. And second, we demonstrate that the presence of dimension-six operators around the TeV scale can modify the Standard Model prediction by up to Oð50%Þ. Our result comprises also one step forward towards the renormalization of the SMEFT to order v3=Λ3.